Fiona, Peter and Angad share some sweets in the ratio 5:4:3. Fiona gets 22 more sweets than Angad. How many sweets does Peter get?

44

Step-by-step explanation:

Given that:

Fiona, Peter and Angad share some sweets in the ratio 5:4:3. Fiona gets 22 more

sweets than Angad. How many sweets does Peter get?

5 : 4 : 3

Total ratio = (5 + 4 + 3) = 12

Let total number of sweets = x

For Fiona :

(5 / 12) * x = 5x / 12

Peter :

(4 / 12) * x = 4x / 12

Angad:

(3 / 12) * x = 3x / 12

Sunce, Fiona gets 22 more Than Angad ;

Then;

5x / 12 = 22 + 3x /12

5x/12 = 22 + 3x/12

5x/12 - 3x/12 = 22

(5x - 3x) / 12 = 22

2x / 12 = 22

2x = 22 * 12

2x = 264

x = 132

Hence, total number of sweets = 132

Peter's share = (4x / 12) = (4 * 132) / 12 = 528/12 = 44

Peter got 44 sweets